Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 440, 721, 745, 928 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 721, 745, 928 is 1
GCD(440, 721, 745, 928) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 721, 745, 928 is 1
GCD(440, 721, 745, 928) = 1
Given Input numbers are 440, 721, 745, 928
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 928
List of positive integer divisors of 928 that divides 928 without a remainder.
1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
Greatest Common Divisior
We found the divisors of 440, 721, 745, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 721, 745, 928 is 1.
Therefore, GCD of numbers 440, 721, 745, 928 is 1
Given Input Data is 440, 721, 745, 928
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 721 is 7 x 103
Prime Factorization of 745 is 5 x 149
Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(440, 721) = 317240
GCD(440, 721) = ( 440 x 721 ) / 317240
GCD(440, 721) = 317240 / 317240
GCD(440, 721) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 928
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 928) = 928
GCD(1, 928) = ( 1 x 928 ) / 928
GCD(1, 928) = 928 / 928
GCD(1, 928) = 1
GCD of 440, 721, 745, 928 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 721, 745, 928?
GCD of 440, 721, 745, 928 is 1
2. Where do I get the detailed procedure to find GCD of 440, 721, 745, 928?
You can find a detailed procedure to find GCD of 440, 721, 745, 928 on our page.
3. How to find GCD of 440, 721, 745, 928 on a calculator?
You can find the GCD of 440, 721, 745, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.